Support motion of a finite bar with a viscously damped boundary-Reference-Cited by-同舟云学术

Support motion of a finite bar with a viscously damped boundary

Published:2022 Issue: Volume:38 Page:473-490
ISSN:1811-8216
Container-title:Journal of Mechanics
language:en
Short-container-title:

Author:

Chen Jeng-Tzong¹²³⁴⁵^ORCID,Kao Hao-Chen¹,Lee Jia-Wei⁶^ORCID,Lee Ying-Te¹

Affiliation:

1. Department of Harbor and River Engineering, National Taiwan Ocean University , Keelung , Taiwan

2. Department of Mechanical and Mechatronic Engineering, National Taiwan Ocean University , Keelung , Taiwan

3. Department of Civil Engineering, National Taiwan University , Taipei , Taiwan

4. Department of Civil Engineering, National Cheng Kung University , Tainan , Taiwan

5. Center of Excellence for Ocean Engineering, National Taiwan Ocean University , Keelung , Taiwan

6. Department of Civil Engineering, Tamkang University , New Taipei City , Taiwan

Abstract

ABSTRACT In this paper, we extended the previous experience to solve the vibration problem of a finite bar with a viscously damped boundary and the support motion on the other side. Two analytical methods, the mode superposition method in conjunction with the quasi-static decomposition method and the method of diamond rule based on the method of characteristics, were employed to derive two analytical solutions. One is a series solution by using the mode superposition method. The other is an exact solution by using the method of diamond rule. The non-conservative system with an external damper is solved straightforward by using the method of diamond rule to avoid the complex-valued eigen system. Agreement is made well. Both advantages and disadvantages of two methods were discussed.

Funder

National Science and Technology Council

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Mechanical Engineering,Condensed Matter Physics

Link

https://academic.oup.com/jom/article-pdf/doi/10.1093/jom/ufac035/47839704/ufac035.pdf

Reference21 articles.

1. Complex modal analysis of a flexural vibrating beam with viscous end conditions;Oliveto;Journal of Sound and Vibration,1997

2. A closed form solution of a longitudinal bar with a viscous boundary condition;Hull;Journal of Sound and Vibration,1994

3. Complex eigenvalue for longitudinal vibration bars with a viscously damped boundary;Singh;Journal of Sound and Vibration,1989

4. Dual series representation and its applications a string subjected to support motions;Chen;Advances in Engineering Software,1996

5. Support motion of a finite bar with an external spring;Chen;Journal Low Frequency Noise Vibration Active Control,2022

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